We consider a random partition Π of N = {1, 2, . . .} such that, for each n, its restriction Πn to [n] = {1, . . . , n} is given by an exchangeable Gibbs partition with parameters α, V for α ∈ (−∞, 1] and V = (Vn,k) defined recursively by setting V1,1 = 1 and Vn,k = (n− αk)Vn+1,k + Vn+1,k+1 k ≤ n = 1, 2, . . . (Gnedin and Pitman 2006). By ranking the blocks Πn1, . . . , Πnk of Πn by their age-o...

Soil samples from the Jakara irrigation project site were evaluated with respect to possible degradation caused by irrigation. Most of the soils were neutral to alkaline with pH values ranging between 6.58 + 0.04 and 10.45 + 0.03. The electrical conductivity ranged from 0.3 + 0.01 to 75.2 + 0.06 dSm-1 which implies low to very high salinity. The concentrations of the exchangeable cations in the...

soil samples from the jakara irrigation project site were evaluated with respect to possible degradation caused by irrigation. most of the soils were neutral to alkaline with ph values ranging between 6.58 + 0.04 and 10.45 + 0.03. the electrical conductivity ranged from 0.3 + 0.01 to 75.2 + 0.06 dsm-1 which implies low to very high salinity. the concentrations of the exchangeable cations in the...

RENKIN, EUGENE M. Exchangeability of tissue potassium in skeletal muscle. Am. J. Physiol. 1g7(6): I~II-12 15. I g5g.-The quantity of ‘rapidly exchanging’ Kf in isolated, skeletal muscles of dogs was determined by measuring the back-diffusion of K42 during perfusion with blood containing this isotopic tracer. This quantity was not constant, but varied from da/$ to 88y0 of the total tissue K+. Th...

C.2 Exchangeable correlation structure Suppose that, among the coordinates of Yi | μ, τi, σ i , a set of variables is exchangeable in the sense that the correlation matrix C remains unchanged under any permutation of these variables. In this case, the following proposition shows that an optimal D based on the correlation matrix C = V−1/2ΣV−1/2 has equal diagonal elements at the exchangeable coo...

We introduce an infectious default and recovery model for N obligors. The obligors are assumed to be exchangeable and their states are described by N Bernoulli-type random variables Si(i = 1, · · · , N). They are expressed by multiplying independent Bernoulli variables Xi, Yij and Y ′ ij , and the default and recovery infections are described by Yij and Y ′ ij . We obtain the default probabilit...

Nitroaromatic compounds (NACs) are prominent soil and sediment contaminants that are strongly adsorbed by smectites at extents that depend on hydration properties of the exchangeable cation. Potassium smectites adsorb nitroaromatics much more strongly than calcium smectites, so that adjustment of K+ versus Ca2+ occupation on cation exchange sites in smectites can be used to modulate the retenti...

We introduce an infectious default and recoverymodel forN obligors. Obligors are assumed to be exchangeable and their states are described by N Bernoulli random variables Si(i = 1, · · · , N). They are expressed by multiplying independent Bernoulli variables Xi, Yij , Y ′ ij , and default and recovery infections are described by Yij and Y ′ ij . We obtain the default probability function P (k) ...

abstract heated micaceous minerals under different commercial brand names (including vermiculite) are used as culture medium in greenhouses. heating minerals affects the release of elements, such as potassium, by changing their structure. the present study, investigates the ability of alfalfa, as one of the most important fodder around the world, to take up the non-exchangeable and structural p...